212934400 has 216 divisors, whose sum is σ = 620967200. Its totient is φ = 72253440.

The previous prime is 212934389. The next prime is 212934433. The reversal of 212934400 is 4439212.

212934400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2195152 + ... + 2195248.

Almost surely, 2^212934400 is an apocalyptic number.

212934400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310483600).

212934400 is an abundant number, since it is smaller than the sum of its proper divisors (408032800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212934400 is an frugal number, since it uses more digits than its factorization.

212934400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 212934400 is about 14592.2719272908. The cubic root of 212934400 is about 597.1479459416.

The spelling of 212934400 in words is "two hundred twelve million, nine hundred thirty-four thousand, four hundred".